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# qiskit.pulse.library.triangle¶

triangle(duration, amp, freq=None, phase=0, name=None)[source]

Generates triangle wave Waveform.

For $$A=$$ amp, $$T=$$ period, and $$\phi=$$ phase, applies the midpoint sampling strategy to generate a discrete pulse sampled from the continuous function:

$f(x) = A \left(-2\left|\text{sawtooth}(x, A, T, \phi)\right| + 1\right)$

This a non-sinusoidal wave with linear ramping.

Parameters
• duration (int) -- Duration of pulse. Must be greater than zero.

• amp (complex) -- Pulse amplitude. Wave range is $$[-$$ amp $$,$$ amp $$]$$.

• freq (Optional[float]) -- Pulse frequency, units of 1./dt. If None defaults to 1./duration.

• phase (float) -- Pulse phase.

• name (Optional[str]) -- Name of pulse.

Return type

Waveform

Example

import matplotlib.pyplot as plt
from qiskit.pulse.library import triangle
import numpy as np

duration = 100
amp = 1
freq = 1 / duration
triangle_wave = np.real(triangle(duration, amp, freq).samples)
plt.plot(range(duration), triangle_wave)
plt.show()